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Finding the Fourth Proportional to 1,446.67, 2,169.43 and 521.90

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Solution

The fourth proportional to 1,446.67, 2,169.43 and 521.90 is: 782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.67 : 2,169.43 = 521.90 : x
  2. Step 2: Convert to fraction form
    1,446.67/2,169.43 = 521.90/x
  3. Step 3: Cross multiply
    1,446.67x = 2,169.43 × 521.90
  4. Step 4: Simplify right side
    1,446.67x = 1,132,225.52
  5. Step 5: Solve for x
    x = 1,132,225.52/1,446.67
  6. Step 6: Final answer
    x = 782.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.